To a large bowl, add olive oil, vinegar and garlic. Season generously with salt and pepper and whisk to combine.
Tear the red peppers into strips, each about 1-inch thick. Add the peppers and beans to the bowl and toss to combine.
Transfer the mixture to a shallow serving dish or rimmed plate. Tear the mozzarella into bite-size chunks and nestle them among the beans and peppers. Season well with salt and pepper and drizzle with more olive oil.
Scatter the basil leaves over and serve.
